American Heritage Dictionary
(1)
Century Dictionary
GNU Webster's 1913
WordNet
(3)
Elsewhere on the web
While accusing education reformers of being wooly-headed romantics … Mr. Murray conjures up a romantic vision of his own.— National Review Online
That wooly-headed notion proceeded from a mind that was swept clean of metaphysics and filled to the brim with of the cotton candy of a 19th century kind of political wishful thinking and cloudy political mysticism.— RenewAmerica
After decades of watching their extravagant, wooly-headed, far-left programs languish in never-never land, Democrats are now realizing their once-forlorn hopes for a return to the good old days.— The Moderate Voice

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